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Finding the Fourth Proportional to 6,116.65, 9,171.33 and 4,144.70

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Solution

The fourth proportional to 6,116.65, 9,171.33 and 4,144.70 is: 6,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.65 : 9,171.33 = 4,144.70 : x
  2. Step 2: Convert to fraction form
    6,116.65/9,171.33 = 4,144.70/x
  3. Step 3: Cross multiply
    6,116.65x = 9,171.33 × 4,144.70
  4. Step 4: Simplify right side
    6,116.65x = 38,012,418.84
  5. Step 5: Solve for x
    x = 38,012,418.84/6,116.65
  6. Step 6: Final answer
    x = 6,214.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.